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<b>let </b><font color="Maroon" title="c1">O</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a>  <a href="oposet_1.html#L1" title="OPOSET_1:struct.1">OrthoRelStr</a> ;<br/>

<b>assume </b><a NAME="E1:109"/><i><font color="Green" title="E59">A1</font></i>: 
( <font color="Maroon" title="c1">O</font> is <a href="necklace.html#V3" title="NECKLACE:attr.3">irreflexive</a> &amp; <font color="Maroon" title="c1">O</font> is <a href="oposet_1.html#V16" title="OPOSET_1:attr.16">SubStrictPartialOrdered</a> )
 ;<br/>

<a NAME="E2:109"/><b>then </b><i><font color="Green" title="E60">A2</font></i>: 
( <font color="Maroon" title="c1">O</font> is <a href="necklace.html#V2" title="NECKLACE:attr.2">asymmetric</a> &amp; <font color="Maroon" title="c1">O</font> is <a href="oposet_1.html#V9" title="OPOSET_1:attr.9">SubTransitive</a> )
 
<b>by </b><i><a class="ref" href="oposet_1.html#D27" target="_self" title="OPOSET_1:def.27">Def27</a></i>;<br/>
<a NAME="E3:109"/><b>then </b><i><font color="Green" title="E61">A3</font></i>: 
<font color="Maroon" title="c1">O</font> is <a href="oposet_1.html#V8" title="OPOSET_1:attr.8">Asymmetric</a>
 
<b>by </b><i><a class="txt" href="oposet_1.html#E1:109"><i><font color="Green" title="E59">A1</font></i></a>, <a class="ref" href="oposet_1.html#T42" target="_self" title="OPOSET_1:th.42">Th42</a></i>;<br/>
<a NAME="E4:109"/>
<font color="Maroon" title="c1">O</font> is <a href="orders_2.html#V3" title="ORDERS_2:attr.3">transitive</a>
 
<b>by </b><i><a class="txt" href="oposet_1.html#E1:109"><i><font color="Green" title="E59">A1</font></i></a>, <a class="txt" href="oposet_1.html#E2:109"><i><font color="Green" title="E60">A2</font></i></a>, <a class="ref" href="oposet_1.html#T41" target="_self" title="OPOSET_1:th.41">Th41</a></i>;<br/>
<b>hence </b><a NAME="E5:109"/>
<font color="Maroon" title="c1">O</font> is <a href="oposet_1.html#V17" title="OPOSET_1:attr.17">StrictPartialOrdered</a>
 <b>by </b><i><a class="txt" href="oposet_1.html#E3:109"><i><font color="Green" title="E61">A3</font></i></a>, <a class="ref" href="oposet_1.html#D28" target="_self" title="OPOSET_1:def.28">Def28</a></i>;<br/>


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